Points de namioka espaces normants applications à la théorie isométrique de la dualité |
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Authors: | Gilles Godefroy |
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Institution: | (1) Equipe d’Analyse, Universite Paris VI, 75230 Paris Cedex 05, France |
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Abstract: | We study in this work various aspects of the isometric theory of duality. We show that in wide classes of Banach spaces, dual
spaces are characterized by the existence of a retraction fromE″ ontoE. The predual of such spaces is then unique. We study the imbedding of regularly normed spaces into dual spaces. We better
the known results on loss of regularity of the norm of dual spaces. We characterize the dual norms on an Asplund space in
terms of “bad differentiability”.
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